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A300342 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 5, 1, 1, 13, 13, 1, 1, 42, 47, 42, 1, 1, 127, 255, 255, 127, 1, 1, 389, 1272, 2648, 1272, 389, 1, 1, 1192, 6780, 25327, 25327, 6780, 1192, 1, 1, 3645, 36498, 258608, 476507, 258608, 36498, 3645, 1, 1, 11161, 198531, 2697270, 9482056, 9482056 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1.....1.......1.........1...........1..............1................1

.1.....5......13........42.........127............389.............1192

.1....13......47.......255........1272...........6780............36498

.1....42.....255......2648.......25327.........258608..........2697270

.1...127....1272.....25327......476507........9482056........193080853

.1...389....6780....258608.....9482056......366298010......14485201471

.1..1192...36498...2697270...193080853....14485201471....1111703589144

.1..3645..198531..28350215..3949300187...574690828973...85529683934894

.1.11161.1088200.300252749.81288738492.22936158924074.6617480992614301

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = a(n-1) +5*a(n-2) +4*a(n-3)

k=3: [order 11] for n>13

k=4: [order 25] for n>26

k=5: [order 66] for n>69

EXAMPLE

Some solutions for n=5 k=4

..0..0..0..0. .0..1..0..1. .0..0..1..1. .0..1..0..0. .0..0..1..0

..0..0..1..0. .0..0..0..0. .1..0..1..0. .0..0..0..0. .0..0..1..1

..0..1..1..0. .0..1..1..0. .0..0..0..0. .0..0..0..0. .0..1..1..1

..1..1..0..0. .1..1..0..0. .0..0..0..1. .0..0..0..0. .0..0..0..1

..0..1..0..0. .1..0..0..1. .1..0..0..0. .0..0..1..0. .0..0..0..0

CROSSREFS

Column 2 is A298234.

Sequence in context: A299060 A299821 A299721 * A119725 A239279 A278880

Adjacent sequences:  A300339 A300340 A300341 * A300343 A300344 A300345

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 03 2018

STATUS

approved

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Last modified May 21 17:51 EDT 2022. Contains 353921 sequences. (Running on oeis4.)